Converting 40.28 to a Fraction
Step-by-step explanation of how to convert 40.28 to a fraction

Result

40.28 =
1007
25
Mixed number:
40
7
25

Step 1: Identify the number of decimal places

The decimal 40.28 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

40.28 × 100 = 4028

Step 3: Write as a fraction

40.28 =

4028
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4028 and 100.

GCD(4028, 100) = 4

Divide both the numerator and denominator by the GCD:

4028
100

=

4028 ÷ 4
100 ÷ 4

=

1007
25
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